DYNAMICAL_SYSTEM

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SLOW MANIFOLD AND PARAMETER ESTIMATION FOR A NONLOCAL FAST-SLOW DYNAMICAL SYSTEM WITH BROWNIAN MOTION
《Acta Mathematica Scientia》2021年第4期1057-1080,共24页Hina ZULFIQAR Ziying HE Meihua YANG Jinqiao DUAN 
supported by NSF (1620449);NSFC (11531006 and 11771449)
We establish a slow manifold for a fast-slow dynamical system with anomalous diffusion,where both fast and slow components are influenced by white noise.Furthermore,we verify the exponential tracking property for the ...
关键词：Nonlocal Laplax:ian fast-slow system stochastic system random slow manifold exponential tracking property parameter estimation 
UPPER SEMI-CONTINUITY OF RANDOM ATTRACTORS FOR A NON- AUTONOMOUS DYNAMICAL SYSTEM WITH A WEAK CONVERGENCE CONDITION被引量：1
《Acta Mathematica Scientia》2020年第4期921-933,共13页Wenqiang ZHAO Yijin ZHANG 
CTBU(KFJJ2018101);CTBU ZDPTTD 201909;Chongqing NSF(2019jcyj-msxm X0115);NSFC(11871122).
In this paper,we develop the criterion on the upper semi-continuity of random attractors by a weak-to-weak limit replacing the usual norm-to-norm limit.As an application,we obtain the convergence of random attractors ...
关键词：non-autonomous random dynamical system random attractor upper semicontinuity weak convergence 
ATTRACTORS FOR FULLY DISCRETE FINITE DIFFERENCE SCHEME OF DISSIPATIVE ZAKHAROV EQUATIONS被引量：3
《Acta Mathematica Scientia》2012年第6期2431-2452,共22页张法勇 郭柏灵 
Supported by the National Natural Science Foundation of China(10371077)
A fully discrete finite difference scheme for dissipative Zakharov equations is analyzed. On the basis of a series of the time-uniform priori estimates of the difference solutions, the stability of the difference sche...
关键词：dissipative Zakharov equations dynamical system global attractor finitedifference method 
ELEMENTARY BIFURCATIONS FOR A SIMPLE DYNAMICAL SYSTEM UNDER NON-GAUSSIAN LVY NOISES
《Acta Mathematica Scientia》2012年第4期1391-1398,共8页陈慧琴 段金桥 张诚坚 
supported by the NSFC(10971225, 11171125, 91130003 and 11028102);the NSFH (2011CDB289);HPDEP (20114503 and 2011B400);the Cheung Kong Scholars Program and the Fundamental Research Funds for the Central Universities, HUST(2010ZD037)
Nonlinear dynamical systems are sometimes under the influence of random fluctuations. It is desirable to examine possible bifurcations for stochastic dynamical systems when a parameter varies.A computational analysis ...
关键词：stochastic dynamical systems non-Gaussian Levy motion Levy jump mea-sure stochastic bifurcation impact of non-Gaussian noises 
ON A SECOND ORDER DISSIPATIVE ODE IN HILBERT SPACE WITH AN INTEGRABLE SOURCE TERM
《Acta Mathematica Scientia》2012年第1期155-163,共9页Alain Haraux Mohamed Ali Jendoubi 
support by the France-Tunisia cooperation under the auspices of the CNRS/DGRSRT agreement No. 08/R 15-06:Systèmes dynamiques et équationsd'évolution;Laboratoire Jacques-Louis Lions under the auspices of the Fondation Sciences Mathematiques de Paris
Asymptotic behaviour of solutions is studied for some second order equations including the model casex（t） ＋γx（t） ＋ ↓△φb（x（t）） = h（t） with γ 〉 0 and h ∈ L1（O, ＋∞; H）, φ being continuouly differe...
关键词：dissipative dynamical system asymptotic behaviour gradient system heavyball with friction 
ON THE INVERSE IMAGE SET OF RATIONAL FUNCTIONS
《Acta Mathematica Scientia》2007年第3期541-548,共8页孙道椿 
Project Supported by the National Natural Science Foundation of China(10471048);the Research Fund for the Doctoral Program of Higher Education(20050574002)
This article studies the inverse image of rational functions. Several theorems are obtained on the Julia set expressed by the inverse image, and a mistake is pointed out in H.Brolin＇ theorem incidentally.
关键词：Rational dynamical system Julila set Fatou component 
SOME RESULTS ABOUT RCK MODEL WITH ENDOGENOUSE FERTILITY
《Acta Mathematica Scientia》1999年第2期220-225,共6页蔡东汉 
In this paper, incorporating the fertility in the utility function and the production function, an improved Ramsey-Cass-Koopmans(RCK) model with endogenous fertility is obtained. In this model, the fertility can be e...
关键词：RCK Model endogenouse fertility dynamical system equilibrium. 
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